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Phys. Rev. A 80, 033819 (2009) [6 pages]

Propagation of partially coherent solitons in saturable logarithmic media: A comparative analysis

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T. Hansson*, D. Anderson, and M. Lisak
Department of Radio and Space Science, Chalmers University of Technology, SE 41296 Göteborg, Sweden

Received 28 April 2009; published 11 September 2009

Dynamic self-similar solutions of the nonlinear Schrödinger equation are derived describing the propagation of partially coherent solitons in media with saturable logarithmic nonlinearity. The analysis is based on both the Wigner and the coherent density formalisms and it is shown that although the approaches involve different analysis, the solutions for the evolution of the physically relevant intensity distributions are equivalent.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.80.033819
DOI:
10.1103/PhysRevA.80.033819
PACS:
42.25.Kb, 42.65.Jx

*tobhan@chalmers.se